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Multi-dimensional K-Means Algorithm for Student Clustering

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Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 520))

Abstract

K-Means is one of the popular methods for generating clusters. It is very well-known and commonly used for its convenience and fastness. The main disadvantage of these criteria is that user should specify the number of cluster in enhance. As a repetitive clustering strategy, a K-Means criterion is very delicate to the preliminary beginning circumstances. In this paper, has been proposed a clustering strategy known as Multi-dimensional K-Means clustering criteria. This algorithm auto generates preliminary k (the preferred variety of cluster) without asking input from the user. It also used a novel strategy of establishing the preliminary centroids. The experiment of the proposed strategy has been conducted using synthetic data, which is taken form LIyod’s K-means experiments. The algorithm is suited for higher education for calculating the student’s CGPA and extracurricular activities with graphs.

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References

  1. Zhou, H., Liu, Y.: Accurate integration of multi-viewrange images using k-means clustering. Pattern Recogn. 41, 152–175 (2008)

    Article  Google Scholar 

  2. Bandyopadhyay, S., Maulik, U.: An evolutionary technique based on K-Means algorithm for optimal clustering. Inf. Sci. 146, 221–237 (2002)

    Article  MathSciNet  Google Scholar 

  3. Duda, R., Hart, P., Stork., D.: Pattern Classification, 2nd edn. Wiley, New York (2001)

    Google Scholar 

  4. Dempster, A.P., Laird, N.M., Rubin, D.B.: Maximum likelihood from incomplete data via the EM algorithm. J. Roy. Stat. Spc. 39, 1–38 (1977)

    MathSciNet  MATH  Google Scholar 

  5. McLachlan, G.L., Basford, K.E.: Mixture Models: Inference and Application to Clustering. Marcel Dekker (1987)

    Google Scholar 

  6. Jiambo, S., Jitendra, M.: Normalized cuts and image segmentation. IEEE Trans. Pattern Anal. Mach. Intell. 22, 288–905 (2000)

    Google Scholar 

  7. Stella, Y., Jianbo, S.: Multiclass spectral clustering. In: Proceedings of International Conference on Computer Vision, pp. 313–319 (2003)

    Google Scholar 

  8. Murino, L., Angelini, C., Feis, I.D., Raiconi, G., Tagliaferri, R.: Beyond classical consensus clustering: the least squares approach to multiple solutions. Pattern Recogn. Lett. 32, 1604–1612 (2011)

    Article  Google Scholar 

  9. Dunham, M.: Data Mining: Introductory and Advance Topics. Prentice Hall, New Jersey (2003)

    Google Scholar 

  10. Chiang, M., Tsai, C., Yang, C.: A time-efficient pattern reduction algorithm for k-means clustering. Inf. Sci. 181, 716–731 (2011)

    Article  Google Scholar 

  11. Xu, R., Wunsch, D.: Survey of clustering algorithms. IEEE Trans. Neural Netw. 16(3), 645–678 (2005)

    Article  Google Scholar 

  12. Jain, A.K., Murty, M.N., Flynn, P.J.: Data clustering: a review. ACM Comput. Surv. 31(3) (1999)

    Article  Google Scholar 

  13. Kanungo, T., Mount, D., Netanyahu, N.S., Piatko, C., Silverman, R., Wu, A.: An efficient K-means clustering algorithm: analysis and implementation. IEEE Trans. Pattern Anal. Mach. Intell. 24(7), 881–892 (2002)

    Article  Google Scholar 

  14. Likas, A., Vlassis, N., Verbeek, J.J.: The global K-means clustering algorithm. Pattern Recogn. 36, 452–461 (2003)

    Article  Google Scholar 

  15. Charalampidis, D.: A modified K-means algorithm for circular invariant clustering. IEEE Trans. Pattern Anal. Mach. Intell. 27(12), 1856–1865 (2005)

    Article  Google Scholar 

  16. Selim, S.Z., Ismail, M.A.: K-means type algorithms: a generalized convergence theorem and characterization of local optimality. IEEE Trans. Pattern Anal. Mach. Intell. 6, 81–87 (1984)

    Article  Google Scholar 

  17. Spath, H.: Cluster Analysis Algorithms. Ellis Horwood, Chichester (1989)

    Google Scholar 

  18. Chang, D., Xian, D., Chang, W.: A genetic algorithm with gene rearrangement for K-means clustering. Pattern Recogn. 42, 1210–1222 (2009)

    Article  Google Scholar 

  19. Otsubo, M., Sato, K., Yamaji, A.: Computerized identification of stress tensors determined from heterogeneous fault-slip data by combining the multiple inverse method and k-means clustering. J. Struct. Geol. 28, 991–997 (2006)

    Article  Google Scholar 

  20. Kalyani, S., Swarup, K.S.: Particle swarm optimization based K-means clustering approach for security assessment in power systems. Expert Syst. Appl. 38, 10839–10846 (2011)

    Article  Google Scholar 

  21. Bagirov, A.M., Ugon, J., Webb, D.: Fast modified global k-means algorithm for incremental cluster construction. Pattern Recogn. 44, 866–876 (2011)

    Article  Google Scholar 

Download references

Acknowledgements

This work was supported by Fundamental Research Grant Scheme (FRGS- RDU110104), University Malaysia Pahang under the project “A new Design of Multiple Dimensions Parameter less Data Clustering Technique (Max D-K means) based on Maximum Distance of Data point and LIoyd k-means Algorithm”.

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Correspondence to Ahmad Noraziah .

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Mohd, W.M.W., Beg, A.H., Herawan, T., Noraziah, A., Chiroma, H. (2019). Multi-dimensional K-Means Algorithm for Student Clustering. In: Abawajy, J., Othman, M., Ghazali, R., Deris, M., Mahdin, H., Herawan, T. (eds) Proceedings of the International Conference on Data Engineering 2015 (DaEng-2015) . Lecture Notes in Electrical Engineering, vol 520. Springer, Singapore. https://doi.org/10.1007/978-981-13-1799-6_14

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